{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#本章需导入的模块\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import warnings\n",
    "warnings.filterwarnings(action = 'ignore')\n",
    "%matplotlib inline\n",
    "plt.rcParams['font.sans-serif']=['SimHei']  #解决中文显示乱码问题\n",
    "plt.rcParams['axes.unicode_minus']=False\n",
    "import sklearn.linear_model as LM\n",
    "from sklearn.metrics import classification_report\n",
    "from sklearn.model_selection import cross_validate,train_test_split\n",
    "from sklearn import neighbors,preprocessing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(123)\n",
    "N=50\n",
    "n=int(0.5*N)\n",
    "X=np.random.normal(0,1,size=100).reshape(N,2)\n",
    "Y=[0]*n+[1]*n\n",
    "X[0:n]=X[0:n]+1.5\n",
    "X1,X2 = np.meshgrid(np.linspace(X[:,0].min(),X[:,0].max(),100), np.linspace(X[:,1].min(),X[:,1].max(),100))\n",
    "data=np.hstack((X1.reshape(10000,1),X2.reshape(10000,1)))\n",
    "\n",
    "fig,axes=plt.subplots(nrows=2,ncols=2,figsize=(15,12))\n",
    "for K,H,L in [(1,0,0),(5,0,1),(30,1,0),(49,1,1)]:\n",
    "    modelKNN=neighbors.KNeighborsClassifier(n_neighbors=K)\n",
    "    modelKNN.fit(X,Y)    \n",
    "    Yhat=modelKNN.predict(data)    \n",
    "    for k,c in [(0,'silver'),(1,'red')]:\n",
    "        axes[H,L].scatter(data[Yhat==k,0],data[Yhat==k,1],color=c,marker='o',s=1)\n",
    "    axes[H,L].scatter(X[:n,0],X[:n,1],color='black',marker='+')\n",
    "    axes[H,L].scatter(X[(n+1):N,0],X[(n+1):N,1],color='magenta',marker='o')\n",
    "    axes[H,L].set_title(\"%d-近邻分类边界(训练误差:%.2f)\"%((K,1-modelKNN.score(X,Y))))\n",
    "    axes[H,L].set_xlabel(\"X1\")\n",
    "    axes[H,L].set_ylabel(\"X2\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "说明：仍沿用3.4.2节的模拟数据，观察K-近邻法参数K变化时的分类预测误差以及分类边界。\n",
    "1、引用neighbors.KNeighborsClassifier包实现分类预测。KNeighborsClassifier默认计算的距离是闵可夫斯基距离，且不做加权处理。\n",
    "2、代码中：for K,H,L in [(1,0,0),(5,0,1),(30,1,0),(49,1,1)]，采用循环方式（共4次）绘制四幅图形。其中，K,H,L分别代表K-近邻的参数K，图形的行坐标和列坐标。例如，第1次循环中K,H,L分别取值1，0，0，即采用1-近邻分类，且结果显示在第1行（索引号0）第1列（索引号0）的图形位置上。\n",
    "3、为了是图形更为清晰，这里首先绘制分类边界，然后再在图中显示训练集的样本观测点。\n",
    "4、图形表明：随着近邻个数K的增加，分类边界越来越趋于规则和平滑，模型复杂度由高到低，训练误差由小到大。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
